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Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales

Author

Listed:
  • Natália Martins

    (University of Aveiro
    University of Aveiro)

  • Delfim F. M. Torres

    (University of Aveiro
    University of Aveiro)

Abstract

We obtain Euler–Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings: Our results seem new and interesting even in the particular cases when the time scale is the set of real numbers or the set of integers.

Suggested Citation

  • Natália Martins & Delfim F. M. Torres, 2012. "Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 453-476, November.
    • Handle: RePEc:spr:joptap:v:155:y:2012:i:2:d:10.1007_s10957-012-0065-y
    DOI: 10.1007/s10957-012-0065-y
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    References listed on IDEAS

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    1. David Gale, 1967. "On Optimal Development in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 1-18.
    2. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    3. Dapeng Cai & Takashi Gyoshin Nitta, 2010. "Transversality Conditions for Higher Order Infinite Horizon Discrete Time Optimization Problems," Papers 1004.3093, arXiv.org.
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